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Finding the Third Proportional to 829,888 and 1,824,394

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Solution

The third proportional to 829,888 and 1,824,394 is: 4,010,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,888 : 1,824,394 = 1,824,394 : x
  2. Step 2: Convert to fraction form
    829,888/1,824,394 = 1,824,394/x
  3. Step 3: Cross multiply
    829,888x = 1,824,394 × 1,824,394
  4. Step 4: Simplify right side
    829,888x = 3,328,413,467,236
  5. Step 5: Solve for x
    x = 3,328,413,467,236/829,888
  6. Step 6: Final answer
    x = 4,010,677.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.